Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: 
. Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
<h3><u>Solution: </u></h3>
Overall<u> </u>CP of each fan = ₹1200 .
One is sold at a loss of 5% .
- ( This means if CP is ₹100, SP is ₹95 ) .
• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.
Also,Second fan is sold at a profit of 10% .
- It means , If CP is ₹100 , SP is ₹110.
Therefore , When CP is ₹1200 , Then SP is ₹1320.
<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>
- Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
- Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.
Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..
<h3>Hope this helps you :)</h3>
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
